Finding the Third Proportional to 409 and 662
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Solution
The third proportional to 409 and 662 is: 1,071.50
Step by Step Solution
- Step 1: Write the proportion equation
409 : 662 = 662 : x - Step 2: Convert to fraction form
409/662 = 662/x - Step 3: Cross multiply
409x = 662 × 662 - Step 4: Simplify right side
409x = 438,244 - Step 5: Solve for x
x = 438,244/409 - Step 6: Final answer
x = 1,071.50
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Why These Related Problems?
These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.